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Finding the Third Proportional to 97,229 and 207,944

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Solution

The third proportional to 97,229 and 207,944 is: 444,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,229 : 207,944 = 207,944 : x
  2. Step 2: Convert to fraction form
    97,229/207,944 = 207,944/x
  3. Step 3: Cross multiply
    97,229x = 207,944 × 207,944
  4. Step 4: Simplify right side
    97,229x = 43,240,707,136
  5. Step 5: Solve for x
    x = 43,240,707,136/97,229
  6. Step 6: Final answer
    x = 444,730.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.